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Decide whether the data in the table represent a linear function or an exponential function . Explain how you know .

Options are A , B , C , or D ?

Decide whether the data in the table represent a linear function or an exponential function Explain how you know Options are A B C or D class=

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Answer:

B) The data represent a linear function because there is a common difference of -9.

Step-by-step explanation:

A linear function is one in which the difference between consecutive y-values is constant.  In this table, to get from one y-value to the next we subtract; this means it is a linear function.

The true statement is (B) The data represent a linear function because there is a common difference of -9.

Given, the attached table.

From the table, we have the following highlight

As the values of x increase by 1, the values of y decrease by 9

A decrement of 9, means -9

This means that, the common difference is -9.

Only a linear function can have a common difference.

Hence, the true statement is (b)

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